1. A function has a local maximum. What is the sign of the derivative to the left of this value? to the right?
2. A function has a local minimum. What is the sign of the derivative to the left of this value? to the right?
2006-10-15 07:03:41 · 2 answers · asked by sunita s 1 in Science & Mathematics ➔ Mathematics
1. positive to the left, negative to the right. as x increases, y increases (so the derivative is positive), stops increasing at the local maximum, then starts decreasing (so the derivative is negative).
2. negative to the left, positive to the right. as x increases, y decreases (so the derivative is negative), stops decreasing at the local minimum, then starts increasing (so the derivative is positive).
2006-10-15 07:10:20 · answer #1 · answered by James L 5 · 0⤊ 0⤋
A function has a local maximum, the sign of the derivative to the left of this value is -ve & +ve towards right
A function has a local minima , the sign of the derivative to the left of this value is +ve & -ve towards right
derivative means slope of the curve with respect to x axis- .
2006-10-15 14:10:34 · answer #2 · answered by Adi 1 · 0⤊ 0⤋